Difference between revisions of "Rolling Reuleaux pentagon"

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Line 1: Line 1:
<jsxgraph width="0" height="0" box="nix"></jsxgraph>
 
 
<html>
 
<html>
<script type="text/javascript" src="/~alfred/jsxgraph/trunk/src/Roulette.js"></script>
 
 
<form>
 
<form>
<input type="button" value="start" onclick="start();">
+
<input type="button" value="start" onclick="rol5.start();rol3.start();">
<input type="button" value="stop" onclick="stop();">
+
<input type="button" value="stop" onclick="rol5.stop();rol3.stop();">
 
<input type="button" value="one step" onclick="rol5.rolling();rol3.rolling();">
 
<input type="button" value="one step" onclick="rol5.rolling();rol3.rolling();">
 
</form></html>
 
</form></html>
Line 15: Line 13:
 
// Pentagon
 
// Pentagon
 
var A = brd.create('point',[-2,-2]);
 
var A = brd.create('point',[-2,-2]);
var B = brd.create('point',[2,0]);
+
var B = brd.create('point',[0,0]);
 
var pol5 = brd.create('regularpolygon',[A,B,5], {withLines:false, fillColor:'none', highlightFillColor:'none', fillOpacity:0.0});
 
var pol5 = brd.create('regularpolygon',[A,B,5], {withLines:false, fillColor:'none', highlightFillColor:'none', fillOpacity:0.0});
 
for (var i=0;i<5;i++) pol5.vertices[i].setProperty({color:'#3d1c24'});
 
for (var i=0;i<5;i++) pol5.vertices[i].setProperty({color:'#3d1c24'});
Line 27: Line 25:
 
var line = brd.create('curve',[function(t){return t;}, function(t){return -2;}],  
 
var line = brd.create('curve',[function(t){return t;}, function(t){return -2;}],  
 
                 {strokeWidth:6, strokeColor:'#d66d55', fillColor:'#d6bb55', highlightFillColor:'#d6bb55'});
 
                 {strokeWidth:6, strokeColor:'#d66d55', fillColor:'#d6bb55', highlightFillColor:'#d6bb55'});
var reuleauxPentagon = brd.create('curve', JXG.Math.Numerics.reuleauxPolygon(pol5.vertices, 5),  
+
var reuleauxPentagon = brd.create('curve', JXG.Math.Geometry.reuleauxPolygon(pol5.vertices, 5),  
 
       {strokeWidth:6, strokeColor:'#d66d55', fillColor:'#ad5544', highlightFillColor:'#ad5544'});
 
       {strokeWidth:6, strokeColor:'#d66d55', fillColor:'#ad5544', highlightFillColor:'#ad5544'});
var reuleauxTriangle = brd.create('curve', JXG.Math.Numerics.reuleauxPolygon(pol3.vertices, 3),  
+
var reuleauxTriangle = brd.create('curve', JXG.Math.Geometry.reuleauxPolygon(pol3.vertices, 3),  
 
       {strokeWidth:6, strokeColor:'#d66d55', fillColor:'#703545', highlightFillColor:'#703545'});
 
       {strokeWidth:6, strokeColor:'#d66d55', fillColor:'#703545', highlightFillColor:'#703545'});
 
brd.unsuspendUpdate();
 
brd.unsuspendUpdate();
  
var rol5 = JXG.Math.Numerics.createRoulette(line, reuleauxPentagon, -2, Math.PI/90, 1, 10, [A,B,C,D]);  
+
var rol5 = brd.createRoulette(line, reuleauxPentagon, -2, Math.PI/45, 1, 100, [A,B,C,D]);  
var rol3 = JXG.Math.Numerics.createRoulette(reuleauxPentagon, reuleauxTriangle, 6*Math.PI/5, Math.PI/90, -1, 10, [C,D]);  
+
var rol3 = brd.createRoulette(reuleauxPentagon, reuleauxTriangle, 6*Math.PI/5, Math.PI/45, -1, 40, [C,D]);  
var rollIt = function() {
 
                rol5.rolling();
 
                rol3.rolling();
 
};
 
var interval;
 
var start = function() {
 
              interval = setInterval(rollIt,10);
 
};
 
var stop = function() {
 
              clearInterval(interval);
 
}
 
 
</jsxgraph>
 
</jsxgraph>
  
 
===The underlying JavaScript code===
 
===The underlying JavaScript code===
 
<source lang="javascript">
 
<source lang="javascript">
 +
var brd = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-2,7,20,-3], keepaspectratio:true});
 +
brd.renderer.container.style.backgroundColor = '#3d1c24';          // background color board
 +
 +
brd.suspendUpdate();
 +
// Pentagon
 +
var A = brd.create('point',[-2,-2]);
 +
var B = brd.create('point',[0,0]);
 +
var pol5 = brd.create('regularpolygon',[A,B,5], {withLines:false, fillColor:'none', highlightFillColor:'none', fillOpacity:0.0});
 +
for (var i=0;i<5;i++) pol5.vertices[i].setProperty({color:'#3d1c24'});
 +
 +
// Triangle
 +
var C = brd.create('point',[-2,-2]);
 +
var D = brd.create('point',[C.X()+3/5*(1+Math.sqrt(5))*0.5*A.Dist(B), C.Y()]);
 +
var pol3 = brd.create('regularpolygon',[C,D,3], {withLines:false, fillColor:'none', highlightFillColor:'none', fillOpacity:0.0});
 +
for (i=0;i<3;i++) pol3.vertices[i].setProperty({color:'#3d1c24'});
 +
 +
var line = brd.create('curve',[function(t){return t;}, function(t){return -2;}],
 +
                {strokeWidth:6, strokeColor:'#d66d55', fillColor:'#d6bb55', highlightFillColor:'#d6bb55'});
 +
var reuleauxPentagon = brd.create('curve', JXG.Math.Geometry.reuleauxPolygon(pol5.vertices, 5),
 +
      {strokeWidth:6, strokeColor:'#d66d55', fillColor:'#ad5544', highlightFillColor:'#ad5544'});
 +
var reuleauxTriangle = brd.create('curve', JXG.Math.Geometry.reuleauxPolygon(pol3.vertices, 3),
 +
      {strokeWidth:6, strokeColor:'#d66d55', fillColor:'#703545', highlightFillColor:'#703545'});
 +
brd.unsuspendUpdate();
 +
 +
var rol5 = brd.createRoulette(line, reuleauxPentagon, -2, Math.PI/45, 1, 100, [A,B,C,D]);
 +
var rol3 = brd.createRoulette(reuleauxPentagon, reuleauxTriangle, 6*Math.PI/5, Math.PI/45, -1, 40, [C,D]);
 
</source>
 
</source>
  

Latest revision as of 17:53, 20 February 2013

The underlying JavaScript code

var brd = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-2,7,20,-3], keepaspectratio:true});
brd.renderer.container.style.backgroundColor = '#3d1c24';          // background color board

brd.suspendUpdate();
// Pentagon
var A = brd.create('point',[-2,-2]);
var B = brd.create('point',[0,0]);
var pol5 = brd.create('regularpolygon',[A,B,5], {withLines:false, fillColor:'none', highlightFillColor:'none', fillOpacity:0.0});
for (var i=0;i<5;i++) pol5.vertices[i].setProperty({color:'#3d1c24'});

// Triangle
var C = brd.create('point',[-2,-2]);
var D = brd.create('point',[C.X()+3/5*(1+Math.sqrt(5))*0.5*A.Dist(B), C.Y()]);
var pol3 = brd.create('regularpolygon',[C,D,3], {withLines:false, fillColor:'none', highlightFillColor:'none', fillOpacity:0.0});
for (i=0;i<3;i++) pol3.vertices[i].setProperty({color:'#3d1c24'});

var line = brd.create('curve',[function(t){return t;}, function(t){return -2;}], 
                {strokeWidth:6, strokeColor:'#d66d55', fillColor:'#d6bb55', highlightFillColor:'#d6bb55'});
var reuleauxPentagon = brd.create('curve', JXG.Math.Geometry.reuleauxPolygon(pol5.vertices, 5), 
       {strokeWidth:6, strokeColor:'#d66d55', fillColor:'#ad5544', highlightFillColor:'#ad5544'});
var reuleauxTriangle = brd.create('curve', JXG.Math.Geometry.reuleauxPolygon(pol3.vertices, 3), 
       {strokeWidth:6, strokeColor:'#d66d55', fillColor:'#703545', highlightFillColor:'#703545'});
brd.unsuspendUpdate();

var rol5 = brd.createRoulette(line, reuleauxPentagon, -2, Math.PI/45, 1, 100, [A,B,C,D]); 
var rol3 = brd.createRoulette(reuleauxPentagon, reuleauxTriangle, 6*Math.PI/5, Math.PI/45, -1, 40, [C,D]);